MinT - Information on Result #1074425

Information on Result #1074425

Linear OOA(2¹⁸, 41, F₂, 4, 7) (dual of [(41, 4), 146, 8]-NRT-code), using extracting embedded OOA based on digital (11, 18, 41)-net over F₂, using

linear code embedding found in a computer search [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2⁵⁵, 76, F₂, 4, 14) (dual of [(76, 4), 249, 15]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(2⁵⁶, 80, F₂, 4, 14) (dual of [(80, 4), 264, 15]-NRT-code)	[i]
3	Linear OOA(2⁵⁹, 85, F₂, 4, 14) (dual of [(85, 4), 281, 15]-NRT-code)	[i]
4	Linear OOA(2¹⁷⁹, 2097191, F₂, 4, 14) (dual of [(2097191, 4), 8388585, 15]-NRT-code)	[i]
5	Linear OOA(2⁵⁵, 74, F₂, 4, 15) (dual of [(74, 4), 241, 16]-NRT-code)	[i]
6	Linear OOA(2⁵⁶, 76, F₂, 4, 15) (dual of [(76, 4), 248, 16]-NRT-code)	[i]
7	Linear OOA(2⁵⁷, 80, F₂, 4, 15) (dual of [(80, 4), 263, 16]-NRT-code)	[i]
8	Linear OOA(2⁵⁸, 82, F₂, 4, 15) (dual of [(82, 4), 270, 16]-NRT-code)	[i]
9	Linear OOA(2⁵⁹, 83, F₂, 4, 15) (dual of [(83, 4), 273, 16]-NRT-code)	[i]
10	Linear OOA(2⁶⁰, 85, F₂, 4, 15) (dual of [(85, 4), 280, 16]-NRT-code)	[i]
11	Linear OOA(2¹⁸⁰, 2097191, F₂, 4, 15) (dual of [(2097191, 4), 8388584, 16]-NRT-code)	[i]